Moduli of curves

Practical infos

• Meetings: Monday 3:10pm-5:00pm (weekly), Wednesday 10:10am-12:00pm (bi-weekly, even-numbered weeks), 二教416

• Evaluation: Final take-home exam + one or two homework

• Course progress.

• Course materials will be posted on https://course.pku.edu.cn

Syllabus

This course begins with an introduction to the theory on the Delign-Mumform moduli of stable curves. We will emphasize more on the intersection theory of tautological classes. Later we will move to Cohomological Field Theories (CohFTs) and Givental-Teleman’s classification.

• References:

  • Harris-Morrison, Moduli of Curves
  • Arbarello-Cornalba-Griffiths, Geometry of Algebraic Curves, vol 2
  • Zvonkine, An introduction to moduli spaces of curves and their intersection theory